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Finding the Third Proportional to 31 and 44.06

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Solution

The third proportional to 31 and 44.06 is: 62.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 44.06 = 44.06 : x
  2. Step 2: Convert to fraction form
    31/44.06 = 44.06/x
  3. Step 3: Cross multiply
    31x = 44.06 × 44.06
  4. Step 4: Simplify right side
    31x = 1,941.50
  5. Step 5: Solve for x
    x = 1,941.50/31
  6. Step 6: Final answer
    x = 62.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.